In a single-slit diffraction pattern on a flat screen, the central bright fringe is 1.6 cm wide when the slit width is 2.8 × 10-5 m. When the slit is replaced by a second slit, the wavelength of the light and the distance to the screen remaining unchanged, the central bright fringe broadens to a width of 2.3 cm. What is the width of the second slit? It may be assumed that is so small that sin is approximately equal to tan .
We can use the equation for the width of the central bright fringe in a single-slit diffraction pattern on a flat screen, which is given by:
w = (λL) / w
where w is the width of the slit, λ is the wavelength of the light, L is the distance from the slit to the screen, and w is the width of the central bright fringe.
We can rearrange this equation to solve for the slit width w:
w = (λL) / w
w^2 = λL
w = sqrt(λL)
We can use this equation to find the width of the first slit:
w1 = sqrt(λL) = sqrt((0.016 m) x (2.8 x 10^-5 m)) = 5.4 x 10^-7 m
Now, we can use the same equation to find the width of the second slit:
w2 = (λL) / w2
We know that the central bright fringe broadens to a width of 2.3 cm, or 0.023 m. We also know that the wavelength of the light and the distance to the screen remain unchanged. Therefore, we can set up the following equation:
0.023 m = (λL) / w2
Solving for w2, we get:
w2 = (λL) / 0.023 m
Plugging in the values for λ and L, we get:
w2 = (6.626 x 10^-34 m^2 kg/s x 3 x 10^8 m/s) / (0.023 m x 1.5 m)
w2 = 7.16 x 10^-7 m
Therefore, the width of the second slit is 7.16 x 10^-7 m.
In a single-slit diffraction pattern on a flat screen, the central bright fringe is 1.6 cm...
In a single-slit diffraction pattern on a flat screen, the central bright fringe is 1.6 cm wide when the slit width is 3.1 × 10-5 m. When the slit is replaced by a second slit, the wavelength of the light and the distance to the screen remaining unchanged, the central bright fringe broadens to a width of 2.0 cm. What is the width of the second slit? It may be assumed that is so small that sin is approximately equal...
In a single-slit diffraction pattern on a flat screen, the central bright fringe is 0.9 cm wide when the slit width is 4.80 10-5 m. When the slit is replaced by a second slit, the wavelength of the light and the distance to the screen remaining unchanged, the central bright fringe broadens to a width of 2.1 cm. What is the width of the second slit? It may be assumed that θ is so small that sin θ ≈ tan...
Round your final answers to three significant figures. The central bright fringe in a single-slit diffraction pattern from light of wavelength 633 nm is 2.50 cm wide on a screen that is 1.050 m from the slit. (a) How wide is the slit? mm (b) How wide are the first two bright fringes on either side of the central bright fringe? (Define the width of a bright fringe as the linear distance from minimum to minimum) cm
In a Young's double-slit experiment the separation distance y between the second-order bright fringe and the central bright fringe on a flat screen is 0.0158 m, when the light has a wavelength of 425 nm. Assume that the angles are small enough so that sin is approximately equal to tan . Find the separation y when the light has a wavelength of 601 nm.
a light beam shines through a slit and illuminates a distant screen. The central bright fringe on the screen is 1.00 cm wide, as measured between the dark fringes that border it on either side. Which of the following actions would decrease the width of the central fringe? ( There may be more than one correct answer) a- increase the wavelength of the light b-decrease the wavelength of the light c-increase the width of the slit d-put the apparatus all...
The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the screen is 94.8 cm from a slit of width 0.700 mm and assuming monochromatic incident light, calculate the wavelength of the incident light. nm
The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the screen is 94.6 cm from a slit of width 0.770 mm and assuming monochromatic incident light, calculate the wavelength of the incident light. ____nm
1. A single slit forms a diffraction pattern, with the second minimum at an angle of 40.0° from central maximum, when monochromatic light of wavelength 630 nm is used. What is the width of the single slit? 2. Consider a two-slit experiment in which the slit separation is 3.0 × 10-5 m and the interference pattern is observed on a screen that is 2.00 m away from the slits. The wavelength of light passing through the slits is 420 nm....
Light shines through a single slit whose width is 5.6 × 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.5 mm. What is the wavelength of the light?
Light shines through a single slit whose width is 5.5 × 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.9 mm. What is the wavelength of the light?